{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5.2\n"
     ]
    }
   ],
   "source": [
    "import paddle\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(paddle.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_points=np.linspace(0,60,600)\n",
    "dataset=np.sin(data_points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c3dba919b0>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 100, 1)\n",
      "(5, 100, 1)\n"
     ]
    }
   ],
   "source": [
    "time_steps=100\n",
    "input_size=1\n",
    "dataX,dataY=[],[]\n",
    "for i in range(500):\n",
    "    x=dataset[i]\n",
    "    y=dataset[i+1]\n",
    "    dataX.append(x)\n",
    "    dataY.append(y)\n",
    "dataX,dataY=np.array(dataX),np.array(dataY)\n",
    "dataX=np.reshape(dataX,(-1,time_steps,input_size))\n",
    "dataY=np.reshape(dataY,(-1,time_steps,input_size))\n",
    "print(dataX.shape)\n",
    "print(dataY.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataX=paddle.to_tensor(dataX,dtype='float32')\n",
    "dataY=paddle.to_tensor(dataY,dtype='float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c3dbfcfa58>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "class rnn(paddle.nn.Layer):\n",
    "    def __init__(self):\n",
    "        super(rnn,self).__init__()\n",
    "        self.rnn=paddle.nn.SimpleRNN(1,128,2,activation=\"relu\")\n",
    "        self.fc=paddle.nn.Linear(in_features=128,out_features=1)\n",
    "    def forward(self,x):\n",
    "        x,h=self.rnn(x)\n",
    "        x=self.fc(x)\n",
    "        return x\n",
    "model=rnn()\n",
    "out=model(dataX)\n",
    "data=np.reshape(out,(-1))\n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_iterations=600\n",
    "learning_rate=0.0001\n",
    "model=rnn()\n",
    "opt=paddle.optimizer.Adam(learning_rate=learning_rate,parameters=model.parameters())\n",
    "mse_loss=paddle.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.01945696)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00375282)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00244517)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "399 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00163363)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for iteration in range(n_iterations):\n",
    "    X_batch,Y_batch=dataX,dataY\n",
    "    out=model(X_batch)\n",
    "    avg_loss=mse_loss(out,Y_batch)\n",
    "    avg_loss.backward()\n",
    "    opt.step()\n",
    "    opt.clear_grad()\n",
    "    if(iteration+1)%100==0:\n",
    "        print(iteration,\"\\tMSE\",avg_loss)\n",
    "        prediction=np.reshape(out,(-1,))\n",
    "        plt.plot(prediction)\n",
    "        plt.title('After{}training,fitting result'.format(iteration))\n",
    "        plt.show()\n",
    "        num_batches=X_batch.shape[0]\n",
    "        sequence=X_batch[num_batches-1,:,0].numpy().tolist()\n",
    "        prediction_iter=100\n",
    "        for iteration in range(prediction_iter):\n",
    "            x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "            x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "            y_pred=model(x_batch)\n",
    "            sequence.append(y_pred.numpy()[0,-1,0])\n",
    "        plt.plot(sequence[-prediction_iter:])\n",
    "        plt.title('prediction'.format(iteration))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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